There seems to be a Honda behavior that it's just there for good.

I have tested the following cars: 2000 Accord EX STD, 2000 Acura TL 3.2 Auto, 2003 Accord EX Auto and 2005 Acura TSX STD.

The behavior is that if you hit the brake pedal hard and quick, it resist you while stopping the car. You don't see it under normal use of the brake pedal. The behavior seems wost on the automatic tranny cars. So this still exist.

It seems to be related to the flow of oil to the rear calipers after these cars sits for an hour and more. It might be related to the proportioning valve and effect the front caliper pressure since the hydraulic circuits are diagonal but I am not sure.

In my case, the rear left caliper was bad. It would not reset properly and it was very hard to even bleed it. This is why moving the fluid to the rear was hard under normal conditions.

After following the parking brake adjusting the braking seems very good.

I replaced the two rear calipers and I had to push the piston all the way in on one of them three times until I got the emergency brake to grab both wheels while pulled to one notch.

The pedal is still a bit low to my taste but it works super. So I am not sure I want to spend an hour on my back to adjust the booster's push rod.